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Finding the Fourth Proportional to 16,854.71, 23,255.35 and 10,304.55

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Solution

The fourth proportional to 16,854.71, 23,255.35 and 10,304.55 is: 14,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.71 : 23,255.35 = 10,304.55 : x
  2. Step 2: Convert to fraction form
    16,854.71/23,255.35 = 10,304.55/x
  3. Step 3: Cross multiply
    16,854.71x = 23,255.35 × 10,304.55
  4. Step 4: Simplify right side
    16,854.71x = 239,635,891.08
  5. Step 5: Solve for x
    x = 239,635,891.08/16,854.71
  6. Step 6: Final answer
    x = 14,217.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.